SMI 2012: Full Local approximation of scalar functions on 3D shapes and volumetric data

摘要: In this paper, we tackle the problem of computing a map that locally interpolates or approximates values scalar function, which have been sampled on surface volumetric domain. We propose local approximation with radial basis functions, conjugates different features such as locality, independence any tessellation sample points, and accuracy. The proposed approach handles maps defined both 3D shapes data has extrapolation capabilities higher than linear precision methods moving least-squares techniques polynomial functions. It is also robust respect to discretization computationally efficient through solution small well-conditioned system. With previous work, it allows an easy control preservation details smoothness interpolating constraints. main application consider grids, shapes, data.